{ "Index":254, "Name":"11a_5", "RolfsenName":"11a_5", "DTname":"11a_5", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-9, 1, -15, -3, 5, 19, -7, 13, -21, 11, -17}", "Acode":"{-5, 1, -8, -2, 3, 10, -4, 7, -11, 6, -9}", "PDcode":[ "{4, 2, 5, 1}", "{10, 6, 11, 5}", "{8, 3, 9, 4}", "{2, 9, 3, 10}", "{16, 14, 17, 13}", "{14, 7, 15, 8}", "{6, 15, 7, 16}", "{20, 12, 21, 11}", "{22, 17, 1, 18}", "{18, 21, 19, 22}", "{12, 20, 13, 19}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{6, 10, 3}", [], [ "{6, 10, 7, 1}", "{10, 6, 11, 1}", "{6, 3, 5, 2}", "{10, -11, 9, 2}", "{11, -9, 1, 1}", "{3, 1, 2, 2}", "{9, 7, 8, 2}", "{3, -8, 4, 1}" ], "{1, 7}", "{4}", 4 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-a - 2*a*b*u - b^2*u + a^2*b^2*u + a*b^3*u - a*u^2 - b*u^2 + u^3 - 2*a*b*u^3 + a^2*b^2*u^3 - a*u^4 - 2*a*b*u^5 - b^2*u^5 + a^2*b^2*u^5 + a*b^3*u^5 - 2*a*u^6 - 2*b*u^6 - a*u^8 - a*u^10 - b*u^10", "-b + u - b^2*u + a*b^3*u + b^4*u + a*u^2 + b*u^2 + u^3 - b^2*u^3 + a*b^3*u^3 + 2*a*u^4 + b*u^4 + u^5 - b^2*u^5 + a*b^3*u^5 + b^4*u^5 + 3*a*u^6 + 2*b*u^6 + 2*a*u^8 + b*u^8 + a*u^10 + b*u^10", "1 - a*b - u + 2*a^2*u^2 - b^2*u^2 + a^2*u^4 + 4*a*b*u^4 - b^2*u^4 - u^5 - 3*a^2*u^6 + 6*a*b*u^6 - 3*b^2*u^6 - 10*a^2*u^8 + 16*a*b*u^8 - 4*b^2*u^8 - 22*a^2*u^10 + 20*a*b*u^10 - 4*b^2*u^10 - 28*a^2*u^12 + 24*a*b*u^12 - 6*b^2*u^12 - 30*a^2*u^14 + 24*a*b*u^14 - 3*b^2*u^14 - 25*a^2*u^16 + 16*a*b*u^16 - 4*b^2*u^16 - 16*a^2*u^18 + 12*a*b*u^18 - b^2*u^18 - 9*a^2*u^20 + 4*a*b*u^20 - b^2*u^20 - 3*a^2*u^22 + 2*a*b*u^22 - a^2*u^24", "-b^2 - u + u^2 + 3*a*b*u^2 - 2*b^2*u^2 - 2*u^3 - 2*a^2*u^4 + 10*a*b*u^4 - 4*b^2*u^4 - u^5 - 11*a^2*u^6 + 22*a*b*u^6 - 7*b^2*u^6 - u^7 - 28*a^2*u^8 + 36*a*b*u^8 - 10*b^2*u^8 - 50*a^2*u^10 + 52*a*b*u^10 - 12*b^2*u^10 - 70*a^2*u^12 + 60*a*b*u^12 - 12*b^2*u^12 - 76*a^2*u^14 + 60*a*b*u^14 - 12*b^2*u^14 - 68*a^2*u^16 + 50*a*b*u^16 - 8*b^2*u^16 - 49*a^2*u^18 + 32*a*b*u^18 - 6*b^2*u^18 - 28*a^2*u^20 + 18*a*b*u^20 - 2*b^2*u^20 - 13*a^2*u^22 + 6*a*b*u^22 - b^2*u^22 - 4*a^2*u^24 + 2*a*b*u^24 - a^2*u^26" ], "TimingForPrimaryIdeals":0.241454 }, "v":{ "CheckEq":[ "-b^2", "-b - b^4*v", "-a + v + b^2*v - a*b^3*v - b*v^2", "1 - a*b - v - b^2*v^2" ], "TimingForPrimaryIdeals":9.617e-2 }, "PrimaryIdeals":[ { "IdealName":"J11a_5_0", "Generators":[ "-2 + 2*b - u - 9*u^2 + 8*u^3 - 11*u^4 + 4*u^6 - 21*u^7 + 48*u^8 - 192*u^9 + 280*u^10 - 689*u^11 + 853*u^12 - 1779*u^13 + 2098*u^14 - 3838*u^15 + 4220*u^16 - 7005*u^17 + 7111*u^18 - 11285*u^19 + 10375*u^20 - 16176*u^21 + 13184*u^22 - 20742*u^23 + 14892*u^24 - 23854*u^25 + 15169*u^26 - 24430*u^27 + 14214*u^28 - 22102*u^29 + 12599*u^30 - 17324*u^31 + 10800*u^32 - 11340*u^33 + 9094*u^34 - 5669*u^35 + 7448*u^36 - 1451*u^37 + 5782*u^38 + 875*u^39 + 4124*u^40 + 1606*u^41 + 2618*u^42 + 1395*u^43 + 1444*u^44 + 875*u^45 + 672*u^46 + 426*u^47 + 256*u^48 + 161*u^49 + 76*u^50 + 46*u^51 + 16*u^52 + 9*u^53 + 2*u^54 + u^55", "-1 + 2*a - 6*u - 11*u^2 - 61*u^3 + 69*u^4 - 280*u^5 + 417*u^6 - 925*u^7 + 1464*u^8 - 2548*u^9 + 3609*u^10 - 5818*u^11 + 7184*u^12 - 11465*u^13 + 12154*u^14 - 19818*u^15 + 17767*u^16 - 30702*u^17 + 22558*u^18 - 43776*u^19 + 23895*u^20 - 58890*u^21 + 18600*u^22 - 76494*u^23 + 4042*u^24 - 96649*u^25 - 20015*u^26 - 117826*u^27 - 49826*u^28 - 136055*u^29 - 78253*u^30 - 145784*u^31 - 97206*u^32 - 142588*u^33 - 101419*u^34 - 125671*u^35 - 90871*u^36 - 98831*u^37 - 70455*u^38 - 68725*u^39 - 47288*u^40 - 41842*u^41 - 27319*u^42 - 22043*u^43 - 13439*u^44 - 9885*u^45 - 5528*u^46 - 3690*u^47 - 1847*u^48 - 1107*u^49 - 478*u^50 - 252*u^51 - 87*u^52 - 39*u^53 - 9*u^54 - 3*u^55", "1 + 2*u + 8*u^2 + 6*u^3 + 33*u^4 - 27*u^5 + 129*u^6 - 181*u^7 + 405*u^8 - 612*u^9 + 1133*u^10 - 1508*u^11 + 2671*u^12 - 3012*u^13 + 5429*u^14 - 5158*u^15 + 9703*u^16 - 7652*u^17 + 15563*u^18 - 9743*u^19 + 23038*u^20 - 10073*u^21 + 32146*u^22 - 6938*u^23 + 42914*u^24 + 907*u^25 + 54865*u^26 + 13293*u^27 + 66496*u^28 + 27967*u^29 + 75269*u^30 + 41119*u^31 + 78370*u^32 + 48898*u^33 + 74149*u^34 + 49209*u^35 + 63116*u^36 + 42663*u^37 + 47924*u^38 + 32053*u^39 + 32187*u^40 + 20856*u^41 + 18935*u^42 + 11681*u^43 + 9640*u^44 + 5567*u^45 + 4177*u^46 + 2216*u^47 + 1505*u^48 + 715*u^49 + 435*u^50 + 178*u^51 + 95*u^52 + 31*u^53 + 14*u^54 + 3*u^55 + u^56" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.102708, "TimingZeroDimVars":0.288975, "TimingmagmaVCompNormalize":0.290159, "TimingNumberOfSols":0.728948, "TimingIsRadical":0.216404, "TimingArcColoring":0.104439, "TimingObstruction":0.452277, "TimingComplexVolumeN":4.9714822999999996e1, "TimingaCuspShapeN":0.688444, "TiminguValues":0.786746, "TiminguPolysN":0.495849, "TiminguPolys":1.527124, "TimingaCuspShape":0.244017, "TimingRepresentationsN":0.701245, "TiminguValues_ij":0.329132, "TiminguPoly_ij":6.781038, "TiminguPolys_ij_N":1.273285 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":56, "IsRadical":true, "ArcColoring":[ [ "-u - u^5", "u + u^3 + u^5" ], [ "(-1 + u - 4*u^2 + 47*u^3 - 122*u^4 + 346*u^5 - 705*u^6 + 1434*u^7 - 2540*u^8 + 4370*u^9 - 6909*u^10 + 10673*u^11 - 15297*u^12 + 21876*u^13 - 28868*u^14 + 38872*u^15 - 47607*u^16 + 60997*u^17 - 69689*u^18 + 85869*u^19 - 91414*u^20 + 109760*u^21 - 107840*u^22 + 128716*u^23 - 114394*u^24 + 139787*u^25 - 108562*u^26 + 141592*u^27 - 91180*u^28 + 134433*u^29 - 66394*u^30 + 119772*u^31 - 40154*u^32 + 99858*u^33 - 18007*u^34 + 77394*u^35 - 3149*u^36 + 55216*u^37 + 4165*u^38 + 35834*u^39 + 5892*u^40 + 20862*u^41 + 4721*u^42 + 10726*u^43 + 2823*u^44 + 4778*u^45 + 1328*u^46 + 1800*u^47 + 491*u^48 + 554*u^49 + 138*u^50 + 132*u^51 + 27*u^52 + 22*u^53 + 3*u^54 + 2*u^55)\/2", "(6 + 9*u + 37*u^2 + 12*u^3 + 119*u^4 - 136*u^5 + 528*u^6 - 871*u^7 + 1784*u^8 - 2768*u^9 + 4972*u^10 - 6703*u^11 + 11419*u^12 - 13121*u^13 + 22110*u^14 - 21786*u^15 + 37416*u^16 - 31101*u^17 + 56561*u^18 - 37517*u^19 + 78653*u^20 - 36242*u^21 + 103056*u^22 - 22330*u^23 + 129300*u^24 + 6194*u^25 + 156027*u^26 + 46118*u^27 + 179354*u^28 + 88634*u^29 + 193397*u^30 + 122060*u^31 + 192360*u^32 + 137048*u^33 + 173990*u^34 + 130637*u^35 + 141468*u^36 + 107395*u^37 + 102334*u^38 + 76481*u^39 + 65204*u^40 + 47074*u^41 + 36162*u^42 + 24857*u^43 + 17200*u^44 + 11105*u^45 + 6872*u^46 + 4110*u^47 + 2236*u^48 + 1217*u^49 + 564*u^50 + 272*u^51 + 100*u^52 + 41*u^53 + 10*u^54 + 3*u^55)\/2" ], [ "(1 + 6*u + 11*u^2 + 61*u^3 - 69*u^4 + 280*u^5 - 417*u^6 + 925*u^7 - 1464*u^8 + 2548*u^9 - 3609*u^10 + 5818*u^11 - 7184*u^12 + 11465*u^13 - 12154*u^14 + 19818*u^15 - 17767*u^16 + 30702*u^17 - 22558*u^18 + 43776*u^19 - 23895*u^20 + 58890*u^21 - 18600*u^22 + 76494*u^23 - 4042*u^24 + 96649*u^25 + 20015*u^26 + 117826*u^27 + 49826*u^28 + 136055*u^29 + 78253*u^30 + 145784*u^31 + 97206*u^32 + 142588*u^33 + 101419*u^34 + 125671*u^35 + 90871*u^36 + 98831*u^37 + 70455*u^38 + 68725*u^39 + 47288*u^40 + 41842*u^41 + 27319*u^42 + 22043*u^43 + 13439*u^44 + 9885*u^45 + 5528*u^46 + 3690*u^47 + 1847*u^48 + 1107*u^49 + 478*u^50 + 252*u^51 + 87*u^52 + 39*u^53 + 9*u^54 + 3*u^55)\/2", "(2 + u + 9*u^2 - 8*u^3 + 11*u^4 - 4*u^6 + 21*u^7 - 48*u^8 + 192*u^9 - 280*u^10 + 689*u^11 - 853*u^12 + 1779*u^13 - 2098*u^14 + 3838*u^15 - 4220*u^16 + 7005*u^17 - 7111*u^18 + 11285*u^19 - 10375*u^20 + 16176*u^21 - 13184*u^22 + 20742*u^23 - 14892*u^24 + 23854*u^25 - 15169*u^26 + 24430*u^27 - 14214*u^28 + 22102*u^29 - 12599*u^30 + 17324*u^31 - 10800*u^32 + 11340*u^33 - 9094*u^34 + 5669*u^35 - 7448*u^36 + 1451*u^37 - 5782*u^38 - 875*u^39 - 4124*u^40 - 1606*u^41 - 2618*u^42 - 1395*u^43 - 1444*u^44 - 875*u^45 - 672*u^46 - 426*u^47 - 256*u^48 - 161*u^49 - 76*u^50 - 46*u^51 - 16*u^52 - 9*u^53 - 2*u^54 - u^55)\/2" ], [ "(3 + 8*u + 25*u^2 + 61*u^3 - u^4 + 136*u^5 + 7*u^6 + 107*u^7 + 112*u^8 - 122*u^9 + 941*u^10 - 1010*u^11 + 3504*u^12 - 2787*u^13 + 8916*u^14 - 5740*u^15 + 18547*u^16 - 9522*u^17 + 32986*u^18 - 12108*u^19 + 53055*u^20 - 10056*u^21 + 79398*u^22 + 1544*u^23 + 111850*u^24 + 25769*u^25 + 148383*u^26 + 61242*u^27 + 183130*u^28 + 100749*u^29 + 207753*u^30 + 132940*u^31 + 214100*u^32 + 147820*u^33 + 198545*u^34 + 141199*u^35 + 164429*u^36 + 116845*u^37 + 120641*u^38 + 83889*u^39 + 77782*u^40 + 52048*u^41 + 43589*u^42 + 27687*u^43 + 20935*u^44 + 12441*u^45 + 8446*u^46 + 4622*u^47 + 2775*u^48 + 1369*u^49 + 708*u^50 + 304*u^51 + 127*u^52 + 45*u^53 + 13*u^54 + 3*u^55)\/2", "(-2 - 3*u - 17*u^2 - 4*u^3 - 109*u^4 + 198*u^5 - 610*u^6 + 1097*u^7 - 2210*u^8 + 3718*u^9 - 6430*u^10 + 9569*u^11 - 15109*u^12 + 19999*u^13 - 29954*u^14 + 35732*u^15 - 51602*u^16 + 55523*u^17 - 78587*u^18 + 75745*u^19 - 108181*u^20 + 90632*u^21 - 136794*u^22 + 93544*u^23 - 161428*u^24 + 80210*u^25 - 179855*u^26 + 50972*u^27 - 189914*u^28 + 12104*u^29 - 189613*u^30 - 26162*u^31 - 177308*u^32 - 53920*u^33 - 153428*u^34 - 65543*u^35 - 121258*u^36 - 61781*u^37 - 86380*u^38 - 48161*u^39 - 54772*u^40 - 31692*u^41 - 30472*u^42 - 17663*u^43 - 14638*u^44 - 8269*u^45 - 5940*u^46 - 3198*u^47 - 1974*u^48 - 989*u^49 - 512*u^50 - 232*u^51 - 94*u^52 - 37*u^53 - 10*u^54 - 3*u^55)\/2" ], [ "(-1 + 4*u - 15*u^2 + 3*u^3 - 31*u^4 + 34*u^5 - 113*u^6 + 147*u^7 - 262*u^8 + 340*u^9 - 601*u^10 + 658*u^11 - 1216*u^12 + 917*u^13 - 2112*u^14 + 938*u^15 - 3367*u^16 + 384*u^17 - 4926*u^18 - 1276*u^19 - 7093*u^20 - 4596*u^21 - 10384*u^22 - 10228*u^23 - 15364*u^24 - 18229*u^25 - 22179*u^26 - 27750*u^27 - 29860*u^28 - 36853*u^29 - 36523*u^30 - 43012*u^31 - 39954*u^32 - 44302*u^33 - 38791*u^34 - 40265*u^35 - 33269*u^36 - 32245*u^37 - 25073*u^38 - 22659*u^39 - 16508*u^40 - 13876*u^41 - 9407*u^42 - 7333*u^43 - 4581*u^44 - 3293*u^45 - 1870*u^46 - 1230*u^47 - 621*u^48 - 369*u^49 - 160*u^50 - 84*u^51 - 29*u^52 - 13*u^53 - 3*u^54 - u^55)\/2", "(3*u - 7*u^2 + 20*u^3 - 21*u^4 + 48*u^5 - 74*u^6 + 183*u^7 - 310*u^8 + 574*u^9 - 882*u^10 + 1493*u^11 - 2113*u^12 + 3343*u^13 - 4228*u^14 + 6352*u^15 - 7270*u^16 + 10643*u^17 - 11019*u^18 + 15947*u^19 - 14669*u^20 + 21762*u^21 - 17166*u^22 + 27550*u^23 - 17322*u^24 + 32686*u^25 - 14457*u^26 + 36636*u^27 - 8886*u^28 + 38746*u^29 - 1893*u^30 + 38416*u^31 + 4596*u^32 + 35358*u^33 + 8944*u^34 + 29847*u^35 + 10418*u^36 + 22851*u^37 + 9394*u^38 + 15679*u^39 + 6980*u^40 + 9528*u^41 + 4348*u^42 + 5059*u^43 + 2274*u^44 + 2307*u^45 + 986*u^46 + 884*u^47 + 346*u^48 + 275*u^49 + 94*u^50 + 66*u^51 + 18*u^52 + 11*u^53 + 2*u^54 + u^55)\/2" ], "{1, 0}", [ 1, "u^2" ], [ "u + u^5", "u + 2*u^3 + u^5 + u^7" ], [ "-u^3", "u + u^3" ], [ 0, "u" ], [ "-u", "u" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-1.83234 + 3.68509*I", "-1.83234 - 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249*u + 297*u^2 - 251*u^3 + 188*u^4 - 109*u^5 + 55*u^6 - 32*u^7 + 14*u^8 - 4*u^9 + u^10", "1 - 3*u + 3*u^2 - 15*u^3 + 52*u^4 - 61*u^5 + 51*u^6 - 24*u^7 + 10*u^8 - 2*u^9 + u^10", "19 + 3*u - 15*u^2 - 85*u^3 + 116*u^4 - 41*u^5 + 13*u^6 - 16*u^7 + 8*u^8 - 2*u^9 + u^10", "37 - 21*u - 31*u^2 + 45*u^3 + 6*u^4 - 25*u^5 + 23*u^6 - 4*u^7 - 2*u^8 + 2*u^9 + u^10", "7 - 9*u + 21*u^2 - 29*u^3 + 38*u^4 - 25*u^5 + 31*u^6 - 8*u^7 - 10*u^8 + 2*u^9 + u^10" ], "Multiplicity":1, "MinRepresentationVolume":[ "{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}", 2.02988 ], "ij_list":[ [ "{3, 9}" ], [ "{1, 5}", "{2, 4}", "{2, 5}", "{6, 10}", "{6, 11}", "{7, 10}" ], [ "{1, 9}", "{6, 7}", "{9, 11}", "{10, 11}" ], [ "{1, 2}", "{1, 3}", "{3, 11}", "{4, 5}" ], [ "{2, 3}", "{3, 10}" ], [ "{1, 11}", "{2, 9}", "{9, 10}" ], [ "{2, 10}" ], [ "{1, 4}", "{3, 5}", "{3, 6}", "{5, 9}", "{6, 9}", "{7, 11}" ], [ "{1, 6}", "{3, 4}", "{3, 7}", "{4, 9}", "{7, 8}", "{7, 9}" ], [ "{3, 8}", "{4, 7}", "{4, 8}", "{8, 9}" ], [ "{5, 11}" ], [ "{1, 10}", "{8, 10}" ], [ "{2, 11}" ], [ "{5, 6}" ], [ "{5, 10}" ], [ "{1, 7}", "{6, 8}" ], [ "{2, 6}", "{4, 11}" ], [ "{4, 6}" ], [ "{5, 7}", "{8, 11}" ], [ "{1, 8}", "{5, 8}" ], [ "{4, 10}" ], [ "{2, 7}" ], [ "{2, 8}" ] ], "SortedReprnIndices":"{2, 4, 5, 7, 10, 1, 3, 6, 8, 9}", "aCuspShapeN":[ "0``4.610924374808178 + 3.4641016151377545873`5.150514997831991*I", "0``4.610924374808178 - 3.4641016151377545873`5.150514997831991*I", "0``4.610924374808178 + 3.4641016151377545871`5.150514997831991*I", "0``4.610924374808178 - 3.4641016151377545871`5.150514997831991*I", "0``4.610924374808178 - 3.464101615137754587`5.150514997831991*I", "0``4.610924374808178 + 3.464101615137754587`5.150514997831991*I", "0``4.610924374808178 - 3.4641016151377545875`5.150514997831991*I", "0``4.610924374808178 + 3.4641016151377545875`5.150514997831991*I", "0``4.610924374808178 + 3.464101615137754587`5.150514997831991*I", "0``4.610924374808178 - 3.464101615137754587`5.150514997831991*I" ], "Abelian":false }, { "IdealName":"J11a_5_3", "Generators":[ "1 + b - u", "-1 + a", "1 - u + u^2" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":9.734400000000001e-2, "TimingZeroDimVars":7.6102e-2, "TimingmagmaVCompNormalize":7.721700000000001e-2, "TimingNumberOfSols":3.3696000000000004e-2, "TimingIsRadical":2.39e-3, "TimingArcColoring":7.9476e-2, "TimingObstruction":1.488e-3, "TimingComplexVolumeN":1.749274, "TimingaCuspShapeN":1.1123000000000001e-2, "TiminguValues":0.707233, "TiminguPolysN":4.3200000000000004e-4, "TiminguPolys":0.883855, "TimingaCuspShape":9.300800000000001e-2, "TimingRepresentationsN":3.3054e-2, "TiminguValues_ij":0.214631, "TiminguPolys_ij_N":4.1100000000000007e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ "{-1, 0}", [ "u", "-1 + u" ], [ 1, "-1 + u" ], [ 1, "-1 + u" ], [ "2 - u", "u" ], "{1, 0}", [ 1, "-1 + u" ], [ 1, "-1 + u" ], [ 1, "-1 + u" ], [ 0, "u" ], [ "-u", "u" ] ], "Obstruction":1, "ComplexVolumeN":"{0, 0}", "uPolysN":[ "1 + u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2", "1 + u + u^2", "1 - u + u^2", "u^2", "u^2", "1 + u + u^2", "1 + u + u^2", "1 - u + u^2" ], "uPolys":[ "1 + u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2", "1 + u + u^2", "1 - u + u^2", "u^2", "u^2", "1 + u + u^2", "1 + u + u^2", "1 - u + u^2" ], "aCuspShape":0, "RepresentationsN":[ [ "u->0.5 + 0.866025 I", "a->1.", "b->-0.5 + 0.866025 I" ], [ "u->0.5 - 0.866025 I", "a->1.", "b->-0.5 - 0.866025 I" ] ], "Epsilon":2.44949, "uPolys_ij_N":[ "u^2", "1 - u + u^2", "3 + 3*u + u^2", "1 + u + u^2", "1 + u + u^2", "1 - u + u^2", "4 - 2*u + u^2", "3 - 3*u + u^2" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{1, 6}", "{3, 4}", "{3, 7}", "{3, 8}", "{3, 9}", "{4, 7}", "{4, 8}", "{4, 9}", "{7, 8}", "{7, 9}", "{8, 9}" ], [ "{1, 2}", "{1, 3}", "{1, 4}", "{1, 7}", "{1, 8}", "{1, 9}", "{2, 6}", "{3, 5}", "{3, 6}", "{4, 5}", "{4, 6}" ], [ "{2, 11}" ], [ "{2, 10}", "{3, 11}", "{4, 11}", "{5, 7}", "{5, 8}", "{5, 9}", "{6, 7}", "{6, 8}", "{6, 9}", "{7, 11}", "{8, 11}", "{9, 11}", "{10, 11}" ], [ "{1, 5}", "{1, 10}", "{1, 11}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 7}", "{2, 8}", "{2, 9}", "{5, 6}" ], [ "{3, 10}", "{4, 10}", "{6, 10}", "{6, 11}", "{7, 10}", "{8, 10}", "{9, 10}" ], [ "{5, 11}" ], [ "{5, 10}" ] ], "SortedReprnIndices":"{1, 2}", "aCuspShapeN":"{0, 0}", "Abelian":false }, { "IdealName":"abJ11a_5_4", "Generators":[ "b", "-1 + a", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":9.749200000000002e-2, "TimingZeroDimVars":7.4934e-2, "TimingmagmaVCompNormalize":7.6047e-2, "TimingNumberOfSols":2.9324e-2, "TimingIsRadical":2.562e-3, "TimingArcColoring":7.7937e-2, "TimingObstruction":5.830000000000001e-4, "TimingComplexVolumeN":0.446164, "TimingaCuspShapeN":5.52e-3, "TiminguValues":0.706836, "TiminguPolysN":7.7e-5, "TiminguPolys":0.890764, "TimingaCuspShape":9.983800000000001e-2, "TimingRepresentationsN":2.995e-2, "TiminguValues_ij":0.206646, "TiminguPoly_ij":0.185332, "TiminguPolys_ij_N":2.9e-5 }, "ZeroDimensionalVars":[ "b", "a", "v" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "uPolys":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "aCuspShape":0, "RepresentationsN":[ [ "v->1.", "a->1.", "b->0" ] ], "Epsilon":"Infinity", "uPolys_ij":[ "u" ], "GeometricComponent":0, "uPolys_ij_N":[ "u" ], "Multiplicity":1, "ij_list":[ [ "{1, 2}", "{1, 3}", "{1, 4}", "{1, 5}", "{1, 6}", "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}", "{1, 11}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{2, 11}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{3, 11}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{4, 11}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{5, 11}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{6, 11}", "{7, 8}", "{7, 9}", "{7, 10}", "{7, 11}", "{8, 9}", "{8, 10}", "{8, 11}", "{9, 10}", "{9, 11}", "{10, 11}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "(1 + u + u^2)^2*(1 + u + u^2 + u^3 + 2*u^4 + u^5 + 3*u^6 + 2*u^8 + u^10)*(1 + 4*u + 14*u^2 + 30*u^3 + 63*u^4 + 127*u^5 + 241*u^6 + 435*u^7 + 761*u^8 + 1288*u^9 + 2109*u^10 + 3370*u^11 + 5189*u^12 + 7830*u^13 + 11469*u^14 + 16450*u^15 + 23015*u^16 + 31570*u^17 + 42293*u^18 + 55593*u^19 + 71440*u^20 + 89985*u^21 + 111030*u^22 + 134054*u^23 + 158750*u^24 + 183729*u^25 + 208607*u^26 + 231171*u^27 + 251356*u^28 + 266129*u^29 + 276695*u^30 + 279193*u^31 + 276958*u^32 + 265590*u^33 + 250653*u^34 + 227621*u^35 + 203724*u^36 + 174291*u^37 + 147472*u^38 + 117997*u^39 + 94099*u^40 + 69744*u^41 + 52247*u^42 + 35441*u^43 + 24836*u^44 + 15187*u^45 + 9897*u^46 + 5348*u^47 + 3213*u^48 + 1491*u^49 + 815*u^50 + 310*u^51 + 151*u^52 + 43*u^53 + 18*u^54 + 3*u^55 + u^56)", "(1 + u + u^2)^2*(1 + u + 3*u^2 + 7*u^3 + 12*u^4 + 17*u^5 + 19*u^6 + 16*u^7 + 10*u^8 + 4*u^9 + u^10)*(1 + 12*u + 82*u^2 + 330*u^3 + 1139*u^4 + 3359*u^5 + 8667*u^6 + 19549*u^7 + 38695*u^8 + 65872*u^9 + 90107*u^10 + 74828*u^11 - 63655*u^12 - 482820*u^13 - 1432289*u^14 - 3230574*u^15 - 6150107*u^16 - 10153904*u^17 - 14415459*u^18 - 16567157*u^19 - 11704244*u^20 + 8695179*u^21 + 57646898*u^22 + 152920832*u^23 + 316160516*u^24 + 570375253*u^25 + 935628619*u^26 + 1423263035*u^27 + 2029583806*u^28 + 2730502487*u^29 + 3479047633*u^30 + 4207535529*u^31 + 4835301178*u^32 + 5281384010*u^33 + 5479925741*u^34 + 5394784201*u^35 + 5029425342*u^36 + 4428815285*u^37 + 3671823746*u^38 + 2855268861*u^39 + 2073539123*u^40 + 1399687484*u^41 + 873804551*u^42 + 501813537*u^43 + 263602442*u^44 + 125884885*u^45 + 54283711*u^46 + 20973780*u^47 + 7194975*u^48 + 2167105*u^49 + 565045*u^50 + 125178*u^51 + 22961*u^52 + 3357*u^53 + 368*u^54 + 27*u^55 + u^56)", "u^4*(1 - u + u^2)^5*(16 + 48*u + 132*u^2 + 296*u^3 + 684*u^4 + 1386*u^5 + 2691*u^6 + 4607*u^7 + 7803*u^8 + 12081*u^9 + 18681*u^10 + 26412*u^11 + 36686*u^12 + 46899*u^13 + 59455*u^14 + 71564*u^15 + 86573*u^16 + 100573*u^17 + 116049*u^18 + 128690*u^19 + 141405*u^20 + 151021*u^21 + 160368*u^22 + 166461*u^23 + 171880*u^24 + 174048*u^25 + 175849*u^26 + 174415*u^27 + 172856*u^28 + 167691*u^29 + 162729*u^30 + 153876*u^31 + 145542*u^32 + 133161*u^33 + 121752*u^34 + 106941*u^35 + 94018*u^36 + 78980*u^37 + 66624*u^38 + 53404*u^39 + 43149*u^40 + 32888*u^41 + 25328*u^42 + 18190*u^43 + 13202*u^44 + 8794*u^45 + 5921*u^46 + 3583*u^47 + 2195*u^48 + 1173*u^49 + 638*u^50 + 289*u^51 + 135*u^52 + 48*u^53 + 18*u^54 + 4*u^55 + u^56)", "(1 - u + u^2)^2*(1 + u + u^2 + u^3 + 2*u^4 + u^5 + 3*u^6 + 2*u^8 + u^10)*(1 + 4*u + 14*u^2 + 30*u^3 + 63*u^4 + 127*u^5 + 241*u^6 + 435*u^7 + 761*u^8 + 1288*u^9 + 2109*u^10 + 3370*u^11 + 5189*u^12 + 7830*u^13 + 11469*u^14 + 16450*u^15 + 23015*u^16 + 31570*u^17 + 42293*u^18 + 55593*u^19 + 71440*u^20 + 89985*u^21 + 111030*u^22 + 134054*u^23 + 158750*u^24 + 183729*u^25 + 208607*u^26 + 231171*u^27 + 251356*u^28 + 266129*u^29 + 276695*u^30 + 279193*u^31 + 276958*u^32 + 265590*u^33 + 250653*u^34 + 227621*u^35 + 203724*u^36 + 174291*u^37 + 147472*u^38 + 117997*u^39 + 94099*u^40 + 69744*u^41 + 52247*u^42 + 35441*u^43 + 24836*u^44 + 15187*u^45 + 9897*u^46 + 5348*u^47 + 3213*u^48 + 1491*u^49 + 815*u^50 + 310*u^51 + 151*u^52 + 43*u^53 + 18*u^54 + 3*u^55 + u^56)", "(1 + u + u^2)^2*(1 - 5*u + 5*u^2 + u^3 + 8*u^4 - 3*u^5 + 5*u^6 - 2*u^7 + 2*u^8 + u^10)*(73 - 228*u + 162*u^2 - 382*u^3 + 507*u^4 + 6143*u^5 - 14133*u^6 - 8963*u^7 + 45029*u^8 - 12632*u^9 - 38459*u^10 - 758*u^11 - 5517*u^12 + 95920*u^13 + 28677*u^14 - 196192*u^15 - 73675*u^16 + 255222*u^17 + 241791*u^18 - 435637*u^19 - 240528*u^20 + 383341*u^21 + 394048*u^22 - 426238*u^23 - 379642*u^24 + 372749*u^25 + 318017*u^26 - 284329*u^27 - 264402*u^28 + 244113*u^29 + 148129*u^30 - 154133*u^31 - 94320*u^32 + 111802*u^33 + 40577*u^34 - 65981*u^35 - 16128*u^36 + 34637*u^37 + 6342*u^38 - 18633*u^39 + 1433*u^40 + 6406*u^41 - 793*u^42 - 3689*u^43 + 1806*u^44 + 987*u^45 - 547*u^46 - 658*u^47 + 385*u^48 + 145*u^49 - 65*u^50 - 74*u^51 + 31*u^52 + 9*u^53 - 2*u^54 - 3*u^55 + u^56)", "(1 - u + u^2)^2*(1 + u + u^2 + u^3 + 2*u^4 + u^5 + 3*u^6 + 2*u^8 + u^10)*(1 - 2*u + 8*u^2 - 6*u^3 + 33*u^4 + 27*u^5 + 129*u^6 + 181*u^7 + 405*u^8 + 612*u^9 + 1133*u^10 + 1508*u^11 + 2671*u^12 + 3012*u^13 + 5429*u^14 + 5158*u^15 + 9703*u^16 + 7652*u^17 + 15563*u^18 + 9743*u^19 + 23038*u^20 + 10073*u^21 + 32146*u^22 + 6938*u^23 + 42914*u^24 - 907*u^25 + 54865*u^26 - 13293*u^27 + 66496*u^28 - 27967*u^29 + 75269*u^30 - 41119*u^31 + 78370*u^32 - 48898*u^33 + 74149*u^34 - 49209*u^35 + 63116*u^36 - 42663*u^37 + 47924*u^38 - 32053*u^39 + 32187*u^40 - 20856*u^41 + 18935*u^42 - 11681*u^43 + 9640*u^44 - 5567*u^45 + 4177*u^46 - 2216*u^47 + 1505*u^48 - 715*u^49 + 435*u^50 - 178*u^51 + 95*u^52 - 31*u^53 + 14*u^54 - 3*u^55 + u^56)", "u^4*(1 - u + u^2)^5*(16 + 48*u + 132*u^2 + 296*u^3 + 684*u^4 + 1386*u^5 + 2691*u^6 + 4607*u^7 + 7803*u^8 + 12081*u^9 + 18681*u^10 + 26412*u^11 + 36686*u^12 + 46899*u^13 + 59455*u^14 + 71564*u^15 + 86573*u^16 + 100573*u^17 + 116049*u^18 + 128690*u^19 + 141405*u^20 + 151021*u^21 + 160368*u^22 + 166461*u^23 + 171880*u^24 + 174048*u^25 + 175849*u^26 + 174415*u^27 + 172856*u^28 + 167691*u^29 + 162729*u^30 + 153876*u^31 + 145542*u^32 + 133161*u^33 + 121752*u^34 + 106941*u^35 + 94018*u^36 + 78980*u^37 + 66624*u^38 + 53404*u^39 + 43149*u^40 + 32888*u^41 + 25328*u^42 + 18190*u^43 + 13202*u^44 + 8794*u^45 + 5921*u^46 + 3583*u^47 + 2195*u^48 + 1173*u^49 + 638*u^50 + 289*u^51 + 135*u^52 + 48*u^53 + 18*u^54 + 4*u^55 + u^56)", "u^4*(1 + u + u^2)^5*(256 + 1920*u + 10896*u^2 + 46016*u^3 + 165192*u^4 + 530956*u^5 + 1563613*u^6 + 4287829*u^7 + 10918105*u^8 + 25547365*u^9 + 54519053*u^10 + 106041746*u^11 + 188818480*u^12 + 309870847*u^13 + 472354647*u^14 + 674053142*u^15 + 907528431*u^16 + 1161933713*u^17 + 1425945001*u^18 + 1690304904*u^19 + 1948860587*u^20 + 2197713255*u^21 + 2433383466*u^22 + 2651154169*u^23 + 2844528028*u^24 + 3005719902*u^25 + 3126596223*u^26 + 3199442581*u^27 + 3217371942*u^28 + 3174683603*u^29 + 3067540269*u^30 + 2895161674*u^31 + 2661259228*u^32 + 2375113431*u^33 + 2051627758*u^34 + 1709998169*u^35 + 1371173010*u^36 + 1054748064*u^37 + 776149872*u^38 + 544818532*u^39 + 363738373*u^40 + 230244012*u^41 + 137700116*u^42 + 77498558*u^43 + 40853354*u^44 + 20058416*u^45 + 9110847*u^46 + 3797201*u^47 + 1437873*u^48 + 488771*u^49 + 146940*u^50 + 38329*u^51 + 8455*u^52 + 1520*u^53 + 210*u^54 + 20*u^55 + u^56)", "(1 + u + u^2)^2*(1 - u + 3*u^2 - 7*u^3 + 12*u^4 - 17*u^5 + 19*u^6 - 16*u^7 + 10*u^8 - 4*u^9 + u^10)*(1 - 12*u + 106*u^2 - 858*u^3 + 5011*u^4 - 21151*u^5 + 70443*u^6 - 197197*u^7 + 492695*u^8 - 1160952*u^9 + 2699491*u^10 - 6329460*u^11 + 14886609*u^12 - 34470540*u^13 + 77210039*u^14 - 165493650*u^15 + 337752317*u^16 - 655172608*u^17 + 1207413101*u^18 - 2113717755*u^19 + 3514595572*u^20 - 5549698683*u^21 + 8320831466*u^22 - 11845129528*u^23 + 16010579556*u^24 - 20550848253*u^25 + 25055334027*u^26 - 29021901539*u^27 + 31945755702*u^28 - 33423548935*u^29 + 33243421921*u^30 - 31433642697*u^31 + 28254841034*u^32 - 24138864586*u^33 + 19593828013*u^34 - 15103644577*u^35 + 11048595974*u^36 - 7663216229*u^37 + 5033992810*u^38 - 3127675653*u^39 + 1834953379*u^40 - 1014535324*u^41 + 527384167*u^42 - 257032121*u^43 + 117056082*u^44 - 49613717*u^45 + 19476039*u^46 - 7039012*u^47 + 2325079*u^48 - 695409*u^49 + 186077*u^50 - 43834*u^51 + 8889*u^52 - 1501*u^53 + 200*u^54 - 19*u^55 + u^56)", "(1 + u + u^2)^2*(1 + u + u^2 + u^3 + 2*u^4 + u^5 + 3*u^6 + 2*u^8 + u^10)*(1 - 2*u + 8*u^2 - 6*u^3 + 33*u^4 + 27*u^5 + 129*u^6 + 181*u^7 + 405*u^8 + 612*u^9 + 1133*u^10 + 1508*u^11 + 2671*u^12 + 3012*u^13 + 5429*u^14 + 5158*u^15 + 9703*u^16 + 7652*u^17 + 15563*u^18 + 9743*u^19 + 23038*u^20 + 10073*u^21 + 32146*u^22 + 6938*u^23 + 42914*u^24 - 907*u^25 + 54865*u^26 - 13293*u^27 + 66496*u^28 - 27967*u^29 + 75269*u^30 - 41119*u^31 + 78370*u^32 - 48898*u^33 + 74149*u^34 - 49209*u^35 + 63116*u^36 - 42663*u^37 + 47924*u^38 - 32053*u^39 + 32187*u^40 - 20856*u^41 + 18935*u^42 - 11681*u^43 + 9640*u^44 - 5567*u^45 + 4177*u^46 - 2216*u^47 + 1505*u^48 - 715*u^49 + 435*u^50 - 178*u^51 + 95*u^52 - 31*u^53 + 14*u^54 - 3*u^55 + u^56)", "(1 - u + u^2)^2*(1 - u + 3*u^2 - 7*u^3 + 12*u^4 - 17*u^5 + 19*u^6 - 16*u^7 + 10*u^8 - 4*u^9 + u^10)*(1 - 12*u + 106*u^2 - 858*u^3 + 5011*u^4 - 21151*u^5 + 70443*u^6 - 197197*u^7 + 492695*u^8 - 1160952*u^9 + 2699491*u^10 - 6329460*u^11 + 14886609*u^12 - 34470540*u^13 + 77210039*u^14 - 165493650*u^15 + 337752317*u^16 - 655172608*u^17 + 1207413101*u^18 - 2113717755*u^19 + 3514595572*u^20 - 5549698683*u^21 + 8320831466*u^22 - 11845129528*u^23 + 16010579556*u^24 - 20550848253*u^25 + 25055334027*u^26 - 29021901539*u^27 + 31945755702*u^28 - 33423548935*u^29 + 33243421921*u^30 - 31433642697*u^31 + 28254841034*u^32 - 24138864586*u^33 + 19593828013*u^34 - 15103644577*u^35 + 11048595974*u^36 - 7663216229*u^37 + 5033992810*u^38 - 3127675653*u^39 + 1834953379*u^40 - 1014535324*u^41 + 527384167*u^42 - 257032121*u^43 + 117056082*u^44 - 49613717*u^45 + 19476039*u^46 - 7039012*u^47 + 2325079*u^48 - 695409*u^49 + 186077*u^50 - 43834*u^51 + 8889*u^52 - 1501*u^53 + 200*u^54 - 19*u^55 + u^56)" ], "RileyPolyC":[ "(1 + y + y^2)^2*(1 + y + 3*y^2 + 7*y^3 + 12*y^4 + 17*y^5 + 19*y^6 + 16*y^7 + 10*y^8 + 4*y^9 + y^10)*(1 + 12*y + 82*y^2 + 330*y^3 + 1139*y^4 + 3359*y^5 + 8667*y^6 + 19549*y^7 + 38695*y^8 + 65872*y^9 + 90107*y^10 + 74828*y^11 - 63655*y^12 - 482820*y^13 - 1432289*y^14 - 3230574*y^15 - 6150107*y^16 - 10153904*y^17 - 14415459*y^18 - 16567157*y^19 - 11704244*y^20 + 8695179*y^21 + 57646898*y^22 + 152920832*y^23 + 316160516*y^24 + 570375253*y^25 + 935628619*y^26 + 1423263035*y^27 + 2029583806*y^28 + 2730502487*y^29 + 3479047633*y^30 + 4207535529*y^31 + 4835301178*y^32 + 5281384010*y^33 + 5479925741*y^34 + 5394784201*y^35 + 5029425342*y^36 + 4428815285*y^37 + 3671823746*y^38 + 2855268861*y^39 + 2073539123*y^40 + 1399687484*y^41 + 873804551*y^42 + 501813537*y^43 + 263602442*y^44 + 125884885*y^45 + 54283711*y^46 + 20973780*y^47 + 7194975*y^48 + 2167105*y^49 + 565045*y^50 + 125178*y^51 + 22961*y^52 + 3357*y^53 + 368*y^54 + 27*y^55 + y^56)", "(1 + y + y^2)^2*(1 + 5*y + 19*y^2 + 27*y^3 + 8*y^4 - 3*y^5 + 7*y^6 + 12*y^7 + 10*y^8 + 4*y^9 + y^10)*(1 + 20*y + 1082*y^2 + 14614*y^3 + 109983*y^4 + 503471*y^5 + 1312763*y^6 + 208581*y^7 - 14946921*y^8 - 75506080*y^9 - 210433169*y^10 - 306983296*y^11 + 275458801*y^12 + 3344103084*y^13 + 12482650547*y^14 + 32863576818*y^15 + 69744330041*y^16 + 125574405172*y^17 + 197618956949*y^18 + 277080578295*y^19 + 351730227344*y^20 + 408827484319*y^21 + 439721270318*y^22 + 440205106932*y^23 + 413226073812*y^24 + 365141559505*y^25 + 305201737267*y^26 + 241974703547*y^27 + 182906418110*y^28 + 131678066743*y^29 + 91254621953*y^30 + 60224846705*y^31 + 38748458070*y^32 + 23624899038*y^33 + 14268887269*y^34 + 8075903889*y^35 + 4615101566*y^36 + 2426678941*y^37 + 1317001050*y^38 + 641658425*y^39 + 330707047*y^40 + 148762372*y^41 + 72644191*y^42 + 30086625*y^43 + 13831078*y^44 + 5239605*y^45 + 2229339*y^46 + 757780*y^47 + 289507*y^48 + 85113*y^49 + 28065*y^50 + 6738*y^51 + 1829*y^52 + 325*y^53 + 68*y^54 + 7*y^55 + y^56)", "y^4*(1 + y + y^2)^5*(256 + 1920*y + 10896*y^2 + 46016*y^3 + 165192*y^4 + 530956*y^5 + 1563613*y^6 + 4287829*y^7 + 10918105*y^8 + 25547365*y^9 + 54519053*y^10 + 106041746*y^11 + 188818480*y^12 + 309870847*y^13 + 472354647*y^14 + 674053142*y^15 + 907528431*y^16 + 1161933713*y^17 + 1425945001*y^18 + 1690304904*y^19 + 1948860587*y^20 + 2197713255*y^21 + 2433383466*y^22 + 2651154169*y^23 + 2844528028*y^24 + 3005719902*y^25 + 3126596223*y^26 + 3199442581*y^27 + 3217371942*y^28 + 3174683603*y^29 + 3067540269*y^30 + 2895161674*y^31 + 2661259228*y^32 + 2375113431*y^33 + 2051627758*y^34 + 1709998169*y^35 + 1371173010*y^36 + 1054748064*y^37 + 776149872*y^38 + 544818532*y^39 + 363738373*y^40 + 230244012*y^41 + 137700116*y^42 + 77498558*y^43 + 40853354*y^44 + 20058416*y^45 + 9110847*y^46 + 3797201*y^47 + 1437873*y^48 + 488771*y^49 + 146940*y^50 + 38329*y^51 + 8455*y^52 + 1520*y^53 + 210*y^54 + 20*y^55 + y^56)", "(1 + y + y^2)^2*(1 + y + 3*y^2 + 7*y^3 + 12*y^4 + 17*y^5 + 19*y^6 + 16*y^7 + 10*y^8 + 4*y^9 + y^10)*(1 + 12*y + 82*y^2 + 330*y^3 + 1139*y^4 + 3359*y^5 + 8667*y^6 + 19549*y^7 + 38695*y^8 + 65872*y^9 + 90107*y^10 + 74828*y^11 - 63655*y^12 - 482820*y^13 - 1432289*y^14 - 3230574*y^15 - 6150107*y^16 - 10153904*y^17 - 14415459*y^18 - 16567157*y^19 - 11704244*y^20 + 8695179*y^21 + 57646898*y^22 + 152920832*y^23 + 316160516*y^24 + 570375253*y^25 + 935628619*y^26 + 1423263035*y^27 + 2029583806*y^28 + 2730502487*y^29 + 3479047633*y^30 + 4207535529*y^31 + 4835301178*y^32 + 5281384010*y^33 + 5479925741*y^34 + 5394784201*y^35 + 5029425342*y^36 + 4428815285*y^37 + 3671823746*y^38 + 2855268861*y^39 + 2073539123*y^40 + 1399687484*y^41 + 873804551*y^42 + 501813537*y^43 + 263602442*y^44 + 125884885*y^45 + 54283711*y^46 + 20973780*y^47 + 7194975*y^48 + 2167105*y^49 + 565045*y^50 + 125178*y^51 + 22961*y^52 + 3357*y^53 + 368*y^54 + 27*y^55 + y^56)", "(1 + y + y^2)^2*(1 - 15*y + 51*y^2 + 59*y^3 + 104*y^4 + 97*y^5 + 55*y^6 + 32*y^7 + 14*y^8 + 4*y^9 + y^10)*(5329 - 28332*y - 73926*y^2 + 756134*y^3 + 2858315*y^4 - 55700853*y^5 + 332257819*y^6 - 1191366015*y^7 + 2874324379*y^8 - 4652225744*y^9 + 4247243215*y^10 + 926353292*y^11 - 10601805543*y^12 + 18522707564*y^13 - 10800819713*y^14 - 32671016202*y^15 + 132049222021*y^16 - 297337911028*y^17 + 522410720233*y^18 - 785926424965*y^19 + 1056137275392*y^20 - 1291447550669*y^21 + 1456835021598*y^22 - 1527312389412*y^23 + 1493033851892*y^24 - 1366239301383*y^25 + 1173026144563*y^26 - 946977826177*y^27 + 720861874654*y^28 - 518540625645*y^29 + 353311274729*y^30 - 228472190707*y^31 + 140394892150*y^32 - 82089815494*y^33 + 45717098017*y^34 - 24293182511*y^35 + 12361547138*y^36 - 6059202027*y^37 + 2890491238*y^38 - 1359481607*y^39 + 638879475*y^40 - 302387688*y^41 + 143751527*y^42 - 67785071*y^43 + 31157942*y^44 - 13697463*y^45 + 5684147*y^46 - 2190456*y^47 + 779079*y^48 - 251083*y^49 + 73121*y^50 - 18698*y^51 + 4193*y^52 - 779*y^53 + 120*y^54 - 13*y^55 + y^56)", "(1 + y + y^2)^2*(1 + y + 3*y^2 + 7*y^3 + 12*y^4 + 17*y^5 + 19*y^6 + 16*y^7 + 10*y^8 + 4*y^9 + y^10)*(1 + 12*y + 106*y^2 + 858*y^3 + 5011*y^4 + 21151*y^5 + 70443*y^6 + 197197*y^7 + 492695*y^8 + 1160952*y^9 + 2699491*y^10 + 6329460*y^11 + 14886609*y^12 + 34470540*y^13 + 77210039*y^14 + 165493650*y^15 + 337752317*y^16 + 655172608*y^17 + 1207413101*y^18 + 2113717755*y^19 + 3514595572*y^20 + 5549698683*y^21 + 8320831466*y^22 + 11845129528*y^23 + 16010579556*y^24 + 20550848253*y^25 + 25055334027*y^26 + 29021901539*y^27 + 31945755702*y^28 + 33423548935*y^29 + 33243421921*y^30 + 31433642697*y^31 + 28254841034*y^32 + 24138864586*y^33 + 19593828013*y^34 + 15103644577*y^35 + 11048595974*y^36 + 7663216229*y^37 + 5033992810*y^38 + 3127675653*y^39 + 1834953379*y^40 + 1014535324*y^41 + 527384167*y^42 + 257032121*y^43 + 117056082*y^44 + 49613717*y^45 + 19476039*y^46 + 7039012*y^47 + 2325079*y^48 + 695409*y^49 + 186077*y^50 + 43834*y^51 + 8889*y^52 + 1501*y^53 + 200*y^54 + 19*y^55 + y^56)", "y^4*(1 + y + y^2)^5*(256 + 1920*y + 10896*y^2 + 46016*y^3 + 165192*y^4 + 530956*y^5 + 1563613*y^6 + 4287829*y^7 + 10918105*y^8 + 25547365*y^9 + 54519053*y^10 + 106041746*y^11 + 188818480*y^12 + 309870847*y^13 + 472354647*y^14 + 674053142*y^15 + 907528431*y^16 + 1161933713*y^17 + 1425945001*y^18 + 1690304904*y^19 + 1948860587*y^20 + 2197713255*y^21 + 2433383466*y^22 + 2651154169*y^23 + 2844528028*y^24 + 3005719902*y^25 + 3126596223*y^26 + 3199442581*y^27 + 3217371942*y^28 + 3174683603*y^29 + 3067540269*y^30 + 2895161674*y^31 + 2661259228*y^32 + 2375113431*y^33 + 2051627758*y^34 + 1709998169*y^35 + 1371173010*y^36 + 1054748064*y^37 + 776149872*y^38 + 544818532*y^39 + 363738373*y^40 + 230244012*y^41 + 137700116*y^42 + 77498558*y^43 + 40853354*y^44 + 20058416*y^45 + 9110847*y^46 + 3797201*y^47 + 1437873*y^48 + 488771*y^49 + 146940*y^50 + 38329*y^51 + 8455*y^52 + 1520*y^53 + 210*y^54 + 20*y^55 + y^56)", "y^4*(1 + y + y^2)^5*(65536 + 1892352*y + 26599680*y^2 + 244090624*y^3 + 1622515168*y^4 + 7800182624*y^5 + 25134611457*y^6 + 48513513033*y^7 + 40363072513*y^8 - 64549615099*y^9 - 260025347915*y^10 - 225005559610*y^11 + 869009922428*y^12 + 4092767318731*y^13 + 10064178127647*y^14 + 18580008880666*y^15 + 29008125690219*y^16 + 40662399639933*y^17 + 52580869883201*y^18 + 63285993875900*y^19 + 71033422870895*y^20 + 74259828037591*y^21 + 71962928749974*y^22 + 64137841206825*y^23 + 52081804750752*y^24 + 38078431603742*y^25 + 24530473752555*y^26 + 13208690578641*y^27 + 5032252358958*y^28 + 168886822803*y^29 - 1848259758779*y^30 - 1955325280410*y^31 - 1220700231032*y^32 - 453105126825*y^33 - 7942370270*y^34 + 125019764369*y^35 + 99565217262*y^36 + 43575399460*y^37 + 9135051456*y^38 - 2095199684*y^39 - 2590407155*y^40 - 1006339660*y^41 - 113303468*y^42 + 89307078*y^43 + 57707818*y^44 + 15213436*y^45 - 24141*y^46 - 1656451*y^47 - 668375*y^48 - 102737*y^49 + 23480*y^50 + 19633*y^51 + 6571*y^52 + 1420*y^53 + 210*y^54 + 20*y^55 + y^56)", "(1 + y + y^2)^2*(1 + 5*y + 19*y^2 + 27*y^3 + 8*y^4 - 3*y^5 + 7*y^6 + 12*y^7 + 10*y^8 + 4*y^9 + y^10)*(1 + 68*y + 666*y^2 - 40570*y^3 + 1583*y^4 + 2212367*y^5 + 16142683*y^6 + 92613125*y^7 + 561866103*y^8 + 3188937712*y^9 + 15044897327*y^10 + 57042020080*y^11 + 173034141121*y^12 + 418517177068*y^13 + 794110411603*y^14 + 1124360421090*y^15 + 999960927081*y^16 - 2577953900*y^17 - 1788874149387*y^18 - 3361895980217*y^19 - 3281485381392*y^20 - 963719955729*y^21 + 2369507474174*y^22 + 4372377347540*y^23 + 3558385598100*y^24 + 657831197153*y^25 - 2073322244141*y^26 - 2858422623429*y^27 - 1708581113186*y^28 + 18214048807*y^29 + 1021007932129*y^30 + 975884199361*y^31 + 385941514438*y^32 - 121319685122*y^33 - 280237608715*y^34 - 186234908383*y^35 - 41828409250*y^36 + 36318141485*y^37 + 43399862698*y^38 + 21472110105*y^39 + 2860252743*y^40 - 3960201452*y^41 - 3511414289*y^42 - 1405634863*y^43 - 99670426*y^44 + 273936341*y^45 + 227632379*y^46 + 113474996*y^47 + 42070275*y^48 + 12292313*y^49 + 2880673*y^50 + 540754*y^51 + 80069*y^52 + 9061*y^53 + 740*y^54 + 39*y^55 + y^56)", "(1 + y + y^2)^2*(1 + y + 3*y^2 + 7*y^3 + 12*y^4 + 17*y^5 + 19*y^6 + 16*y^7 + 10*y^8 + 4*y^9 + y^10)*(1 + 12*y + 106*y^2 + 858*y^3 + 5011*y^4 + 21151*y^5 + 70443*y^6 + 197197*y^7 + 492695*y^8 + 1160952*y^9 + 2699491*y^10 + 6329460*y^11 + 14886609*y^12 + 34470540*y^13 + 77210039*y^14 + 165493650*y^15 + 337752317*y^16 + 655172608*y^17 + 1207413101*y^18 + 2113717755*y^19 + 3514595572*y^20 + 5549698683*y^21 + 8320831466*y^22 + 11845129528*y^23 + 16010579556*y^24 + 20550848253*y^25 + 25055334027*y^26 + 29021901539*y^27 + 31945755702*y^28 + 33423548935*y^29 + 33243421921*y^30 + 31433642697*y^31 + 28254841034*y^32 + 24138864586*y^33 + 19593828013*y^34 + 15103644577*y^35 + 11048595974*y^36 + 7663216229*y^37 + 5033992810*y^38 + 3127675653*y^39 + 1834953379*y^40 + 1014535324*y^41 + 527384167*y^42 + 257032121*y^43 + 117056082*y^44 + 49613717*y^45 + 19476039*y^46 + 7039012*y^47 + 2325079*y^48 + 695409*y^49 + 186077*y^50 + 43834*y^51 + 8889*y^52 + 1501*y^53 + 200*y^54 + 19*y^55 + y^56)", "(1 + y + y^2)^2*(1 + 5*y + 19*y^2 + 27*y^3 + 8*y^4 - 3*y^5 + 7*y^6 + 12*y^7 + 10*y^8 + 4*y^9 + y^10)*(1 + 68*y + 666*y^2 - 40570*y^3 + 1583*y^4 + 2212367*y^5 + 16142683*y^6 + 92613125*y^7 + 561866103*y^8 + 3188937712*y^9 + 15044897327*y^10 + 57042020080*y^11 + 173034141121*y^12 + 418517177068*y^13 + 794110411603*y^14 + 1124360421090*y^15 + 999960927081*y^16 - 2577953900*y^17 - 1788874149387*y^18 - 3361895980217*y^19 - 3281485381392*y^20 - 963719955729*y^21 + 2369507474174*y^22 + 4372377347540*y^23 + 3558385598100*y^24 + 657831197153*y^25 - 2073322244141*y^26 - 2858422623429*y^27 - 1708581113186*y^28 + 18214048807*y^29 + 1021007932129*y^30 + 975884199361*y^31 + 385941514438*y^32 - 121319685122*y^33 - 280237608715*y^34 - 186234908383*y^35 - 41828409250*y^36 + 36318141485*y^37 + 43399862698*y^38 + 21472110105*y^39 + 2860252743*y^40 - 3960201452*y^41 - 3511414289*y^42 - 1405634863*y^43 - 99670426*y^44 + 273936341*y^45 + 227632379*y^46 + 113474996*y^47 + 42070275*y^48 + 12292313*y^49 + 2880673*y^50 + 540754*y^51 + 80069*y^52 + 9061*y^53 + 740*y^54 + 39*y^55 + y^56)" ] }, "GeometricRepresentation":[ 1.5501199999999999e1, [ "J11a_5_0", 1, "{49, 50}" ] ] } }